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" DEF, def, are equivalent; for like reasons, the third exterior prism GHI-K and the second interior prism ghi-d are equivalent; the fourth exterior and the third interior ; and so on, to the last in each series. Hence all the exterior prisms of the pyramid... "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 176
by James Bates Thomson - 1844 - 237 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...prism DEFG is equivalent to the first interior prism deja, b&cause they have the same altitude fc, and their bases DEF, def are equivalent ; for like...equivalent corresponding ones in the interior prisms of the pyramid sabc : hence the prism DABC is the difference between the sum of all the exterior prisms of...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...to the first interior prism d efa, because they have the same altitude k, and their bases DEF, d ef, are equivalent ; for like reasons, the third exterior...each series. Hence all the exterior prisms of the pyramids S-ABC, excepting the first prism DABC, have equivalent corresponding ones in the interior...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...altitude k, and their bases DEF, ' d ef, are equivalent ; for like reasons, the third exterior prism GH1K and the second interior prism ghid are equivalent;...each series. Hence all the exterior prisms of the pyramids S-ABC, excepting the first prism DABC, have equivalent corresponding ones in the interior...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 574 pages
...altitude k, and their bases DEF, d ef, are equivalent ; for like reasons, the third exterior prism GH1K and the second interior prism ghid are equivalent...third interior; and so on, to the last in each series. Kence all the exterior prisms of the pyramids S-ABC, excepting the first prism DABC, have equivalent...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...the second interior prism ghid ara equivalent; the fourth exterior and the third interior; and so onT to the last in each series. Hence all the exterior prisms of the pyramids S-ABC, excepting the first prism DABC, have equivalent corresponding ones in the interior...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 pages
...are equivalent ; for like reasons, the third exterior prism GHIK and the second interior prism ghik are equivalent ; the fourth exterior and the third interior ; and so on, to the last iu each series. Hence all the exterior prisms of the pyramid SABC, excepting the first prism DABC,...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...are equivalent ; for like reasons, the third exterior prism GHIK and the second interior prism ghik are equivalent ; the fourth exterior and the third...equivalent corresponding ones in the interior prisms of the pyramid sate : hence the prism DABC is the difference between the sum of all the exterior prisms of...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...difference between the two pyramids themselves. , . . '1 ; Now, beginning with the bases ABC, dbc, the second exterior prism DEF-G is equivalent to the...prisms of the pyramid S-ABC, excepting the first prism ABC-D, have equivalent corresponding ones in the interior prisms of the pyramid S-abc : hence the prism...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...altitude It, and their bases DEF, def, are equivalent ; for like reasons, the third exterior prism GIII-K and the second interior prism ghi-d are equivalent...exterior and the third interior ; and so on, to the last 1 in each series. Hence all the exterior prisms of the pyramid S-ABC, excepting the first prism ABC-D,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 359 pages
...prism DEF-G is equivalent to the first interior prism def-a, because they have the same altitude It, and their bases DEF, def, are equivalent ; for like...prisms of the pyramid S-ABC, excepting the first prism ABC-D, have equivalent corresponding ones in the interior prisms of the pyramid S-abc : hence the prism...
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